The quality-control department of Starr Communications, the manufacturer of video-game cartridges, has determined from records that 1.6% of the cartridges sold have video defects, 0.7% have audio defects, and 0.4% have both audio and video defects. (a) What is the probability that a cartridge purchased by a customer will have a video or audio defect?

Answer:

x= -7 and x= -3

Step-by-step explanation:

(x+7)(x+3)=0 (Think about the numbers that will add to 10 and multiply to 21)

x= -7 and x= -3

Answer:

x = −3 or x = −7

Step-by-step explanation:

Let's solve your equation step-by-step.

x^2 +  10x + 21 = 0

Step 1: Factor left side of equation.

(x+3) (x+7) = 0

Step 2: Set factors equal to 0.

x + 3 = 0 or x + 7 = 0

x = −3 or x = −7

I hope this helps you with your assignment and have a fantastic day! :D

Answer:

10^2+24^2

Step-by-step explanation:

got 100% on the quiz

Answer:

The location of the new cell phone tower is [tex](h,k) = (3,4)[/tex], and the equation of the circle is [tex]x^{2}+y^{2} -6\cdot x - 8\cdot y = 0[/tex].

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

[tex]x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Circunference constants.

Given the number of variable, we need the location of three distinct points:

[tex](x_{1},y_{1}) = (6,0)[/tex]

[tex]36 +6\cdot A + C = 0[/tex]

[tex](x_{2},y_{2}) = (8,4)[/tex]

[tex]80 + 8\cdot A + 4\cdot B + C = 0[/tex]

[tex](x_{3},y_{3}) = (3,9)[/tex]

[tex]90 + 3\cdot A + 9\cdot B + C = 0[/tex]

Then, we have the following system of linear equations:

[tex]6\cdot A + C = -36[/tex] (2)

[tex]8\cdot A +4\cdot B + C = -80[/tex] (3)

[tex]3\cdot A + 9\cdot B + C = -90[/tex] (4)

The solution of this system is:

[tex]A = -6[/tex], [tex]B = -8[/tex], [tex]C = 0[/tex]

By comparing the general form with the standard form of the equation of the circunference is:

[tex]A = -2\cdot h[/tex] (5)

[tex]B = -2\cdot k[/tex] (6)

[tex]C = h^{2}+k^{2}-r^{2}[/tex] (7)

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

If we know that [tex]A = -6[/tex], [tex]B = -8[/tex] and [tex]C = 0[/tex], then coordinates of the center of the circle and its radius are, respectively:

[tex]h = -\frac{A}{2}[/tex]

[tex]k = -\frac{B}{2}[/tex]

[tex]r = \sqrt{h^{2}+k^{2}-C}[/tex]

[tex]h = 3[/tex], [tex]k = 4[/tex], [tex]r = 5[/tex]

The location of the new cell phone tower is [tex](h,k) = (3,4)[/tex], and the equation of the circle is [tex]x^{2}+y^{2} -6\cdot x - 8\cdot y = 0[/tex].

Answer:

0, -7, 4

Step-by-step explanation:

Zeros of a function are values that make the function = 0

So, f(x) = 2x(x + 7)(x - 4) = 0

                x = 0 or x + 7= 0  or x - 4 = 0

                                   x = -7           x = 4

Note:  If you were to graph f(x), the graph would intercept the x-axis at 0, -7, and 4

Answer:

It's B

... because if you evaluate it it'll be 9x - 6xy, and 2xy + 2x^2

-6xy and 2xy are like terms

Answer:it’s F

Step-by-step explanation:

It’s F

Answer:

7x2+16x+12

Step-by-step explanation:

=4x2+9x+10+3x2+7x+2

=(4x2+3x2)+(9x+7x)+(10+2)

=7x2+16x+12

Answer:

1 meter =3.25 feet or 39 inches

Step-by-step explanation:

hope this helps

Answer: reflection

Translation

Rotation

Rotation

Step-by-step explanation:

Answer:

x = 38°

Step-by-step explanation:

in the given question,

the two angles are complementary, because sum of their measures = 90°

so,

=》52° + x = 90°

=》x = 90° - 52°

=》x = 38°

Answer:

x = 38

Step-by-step explanation:

I first took the measure of a right angle (90 degrees) Then, I subtracted 52 degrees from 90. After that I added 52 and 38 to check. The answer was 38.

Answer:

Given that the average house price in 2007 was 5% lower than in 2006, while the average house price in 2008 was 5% greater than in 2007, to explain why the average price of house in 2008 is not the same as the average house price in 2006 the following logical reasoning must be carried out:

If, for example, in 2006 the median home price was $ 100,000, a 5% drop in 2007 would bring the median price to $ 95,000. In turn, if this price were to increase by 5% for 2008, said value would rise to $ 99,750. This is so because the 5% is calculated based on a smaller number, with which the rise will be, therefore, also smaller.

Answer:

500

Step-by-step explanation:

g (10) = 20(x+15)

= 20 (10+15)

= 20 (25)

= 500

Step-by-step explanation:

Length of cube (L) = 1 ft

Volume of the cube

= L³

= 1³

= 1 ft³

Hope it will help :)❤

Answer:

D) 1

Step-by-step explanation:

D)1

to find the area follow the formula length * width * height

l * w * h

substitute the numbers

1 * 1 * 1

= 1

Answer:

0,0

Step-by-step explanation:

0,0 on a graph would represent the origin.

Answer: $70/week

Step-by-step explanation:

E = 10w

w = 7 (1 time per day for 7 days = 7)

E = 10(7)

E = $70/week

Answer:

1. A, C, and E

2. 13.5

3. -3

4. $3.39

5. 9 1/4 miles

Step-by-step explanation:

Answer:

5 15/48

Step-by-step explanation:

5 times 3 is 15,  8 times 6 is 56, and 5 times 1 is 5....you can not simplify 15/48 so the final answer is 5 15/48

Answer: 2

Step-by-step explanation:

Choose left most point

count up to the horizontal line where the 2nd point is-- up 4

count over to the point -- right 2

slope is rise/ run

4/2 = 2

Answer:

Yes Isosceles Triangle

Step-by-step explanation:

Im not a 100% sure but they all add up to 84 so good luck

Answer:

30x-10

Step-by-step explanation:

6(5x−2)+2

Distribute:

=(6)(5x)+(6)(−2)+2

=30x+−12+2

Combine Like Terms:

=30x+−12+2

=(30x)+(−12+2)

=30x+−10

Answer:

=30x−10

Answer:

[tex] lenght= 6 {x}^{2} + 4x - 3[/tex]

Step-by-step explanation:

[tex]lenght = \frac{area}{width} \\ \\ = \frac{36 {x}^{3} + 24 {x}^{2} - 18x }{6x} \\ \\ = \frac{6x(6 {x}^{2} + 4x - 3) }{6x} \\ \\ lenght= 6 {x}^{2} + 4x - 3[/tex]

Answer:

Step-by-step explanation:

Find an ordered pair that satisfies the equation 5x + y = 3.  

There are infinitely many ordered pairs that satisfy this equation.

If we were to choose y = 0, then 5x = 3, and x = 3/5, leading to the ordered pair (3/5, 0).

If we were to choose x = 1, then 5(1) + y = 3, or y = -2.  The ordered pair would be (1, -2).

And so on.

Answer:

=−3

Step-by-step explanation:

distribute, then, CLT and solve as you would.

Answer:

x=-3

Step-by-step explanation:

distribute

5(x)+5(2)-2x=1

simplify

5x+10-2x=1

simplify

3x+10=1

take 10 from each side

3x=-9

x=-3

Answer:

70%of x = 63

70/100 × x = 63

x=63×100/70

x=90

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Subtract 2.5 from 3

The correctly arranged binary numbers from smallest to largest is; B) 001100110011, 010101010101, 011001100110, 101010101010

Binary numbers are numbers that are made of only 1 and 0. Now, let us look at the options;

A) 001100110011, 011001100110, 010101010101, 101010101010; This is not well arranged from smallest to biggest because the 2nd and 3rd numbers both have 12 terms but the 2nd term is larger because it starts with 011 while the 3rd term starts with 010 which is not meant to be.

B) 001100110011, 010101010101, 011001100110, 101010101010; Thus is well arranged because unlike the option A above, this one has the second and third term correctly positioned and also the 4th term is the biggest.

Options C & D are not properly arranged for the resaons given in options A and B.

Read more about Binary Numbers at; https://brainly.com/question/8649831

Answer: -6, -10.

The question is asking you to make the coordinates negative and then multiply the negative numbers by 2, thus, -6, -10.

The coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

-2(x, y)  →  (3, 5)

The coordinate (x, y) changes after multiplication by factor 2

New coordinate = (3, 5)

-2x = 3

x = -3/2

-2y = 5

y = -5/2

Thus, the coordinate of (x, y) is (-3/2, -5/2) if the -2(x, y) → (3, 5) option second is correct.

Learn more about the ordered double here:

https://brainly.com/question/10757890

#SPJ2

Step-by-step explanation:

T

[tex]t = \frac{pv}{nr} [/tex]

Answer:

there is no solution, meaning the lines would be parallel

Step-by-step explanation:

i hope this helps :)

Answer:

t>5

Step-by-step explanation:

t (temperature) > (less than) 5 (5 degrees)

t > 5